Workshop on Modality and indefinite expensibility

Is it possible to quantify over absolutely everything? According to the extendability argument, it is not. However many objects we quantify over, it is possible to use these objects to define another object that must, on pain of paradox, lie beyond the objects over which we quantified. The topic of this mini-workshop is whether the modal operators too are subject to extendability arguments. The idea would be that however large a space of possibilities is used to interpret our modal operators, it is possible to use this space to define yet further possibilities that must lie beyond that space. 

Several philosophers have recently argued that modality too is subject to a form of indefinite extendability (Justin Clarke-Doane, Kit Fine, Michael Glanzberg, Agustin Rayo, Alex Roberts, James Studd). Other philosophers reject all forms of extendability arguments (T. Williamson). An intermediate view holds that, although every extensional domain (a set or a plurality) can be extended, there are absolutely inextendable intensional domains (Florio, Linnebo). 

12:30 - 13:45: Peter Fritz

14:00 - 15:15: Øystein Linnebo

15:30 - 16:45: Agustin Rayo